(2x-3)2-(x+5)=-23

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Solution for (2x-3)2-(x+5)=-23 equation:


Simplifying
(2x + -3) * 2 + -1(x + 5) = -23

Reorder the terms:
(-3 + 2x) * 2 + -1(x + 5) = -23

Reorder the terms for easier multiplication:
2(-3 + 2x) + -1(x + 5) = -23
(-3 * 2 + 2x * 2) + -1(x + 5) = -23
(-6 + 4x) + -1(x + 5) = -23

Reorder the terms:
-6 + 4x + -1(5 + x) = -23
-6 + 4x + (5 * -1 + x * -1) = -23
-6 + 4x + (-5 + -1x) = -23

Reorder the terms:
-6 + -5 + 4x + -1x = -23

Combine like terms: -6 + -5 = -11
-11 + 4x + -1x = -23

Combine like terms: 4x + -1x = 3x
-11 + 3x = -23

Solving
-11 + 3x = -23

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '11' to each side of the equation.
-11 + 11 + 3x = -23 + 11

Combine like terms: -11 + 11 = 0
0 + 3x = -23 + 11
3x = -23 + 11

Combine like terms: -23 + 11 = -12
3x = -12

Divide each side by '3'.
x = -4

Simplifying
x = -4

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